In Compton scattering a photon collides with an electron that is initially at rest.
(a) Rank the following quantities in order from largest to smallest. If any two quantities are the same, state this. Explain how you made your ranking.
(i) The wavelength of an x-ray photon
(ii) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 0° (that is, the photon continues in the same direction as its initial motion)
(iii) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 90° (that is, the photon is scattered in a direction at right angles to its initial motion)
(iv) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 180° (that is, the photon is scattered in the direction opposite to its initial motion)
(b) Fill in the blanks in each of the following statements with the word increases, the word decreases, the phrase stays the same, or the phrase don’t know.
(i) In Compton scattering if the angle through which the photon is scattered increases, the energy of the scattered photon ____________, the momentum of the scattered photon __________, the frequency of the scattered photon __________, and the speed of the scattered photon __________.
(ii) In Compton scattering if the angle through which the photon is scattered increases, the kinetic energy of the scattered electron __________, the momentum of the scattered electron __________, and the speed of the scattered electron __________.
(a) In a compton experiment the wavelength of the scattered photon is given by the expression:
So we can see that if the angle is 0° the wavelength of the incident photon does not change (in other words, the change in wavelength is zero), if it's 90° then it's larger by the amount h/mc (this is known as the compton wavelength and it's approximately equal to 2.4pm) and if it's 180° (backscattering) it increases by two times the compton wavelength. Therefore the rank from largest to smallest would be
(b)
(i) In Compton scattering if the angle through which the photon is scattered increases, the energy of the scattered photon decreases, the momentum of the scattered photon decreases, the frequency of the scattered photon decreases, and the speed of the scattered photon stays the same.
(ii) In Compton scattering if the angle through which the photon is scattered increases, the kinetic energy of the scattered electron increases, the momentum of the scattered electron increases, and the speed of the scattered electron increases.
In Compton scattering a photon collides with an electron that is initially at rest. (a) Rank...
Activity 26-3. Compton scattering [Accompanies Section 26-3] In Compton scattering a photon collides with an electron that is initially at rest. (a) Rank the following quantities in order from largest to smallest. If any two quantities are the same, state this. Explain how you made your ranking. (i) The wavelength of an x-ray photon (ii) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 0° (that is, the photon continues in...
In Compton scattering a photon collides with an electron that is initially at rest. (a) Rank the following quantities in order from largest to smallest. If any two quantities are the same, state this. Explain how you made your ranking. (i) The wavelength of an x-ray photon (ii) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 0° (that is, the photon continues in the same direction as its initial motion)...
Which one following statements is true for Compton scattering of a photon by an electron? A. All of the kinetic energy of the photon is transferred to the electron. B. The total momentum of the photon and electron system is conserved. C. The momentum of a photon scattered through a large angle by an electron does not change as a result of the scattering. D. A photon loses speed when it is scattered by an electron. E. The wavelength shift...
In a Compton scattering experiment, an x-ray photon scatters through an angle of 12.6° from a free electron that is initially at rest. The electron recoils with a speed of 1,400 km/s. (a) Calculate the wavelength of the incident photon. nm (b) Calculate the angle through which the electron scatters. o
In a Compton scattering experiment, an x-ray photon scatters through an angle of 17.0° from a free electron that is initially at rest. The electron recoils with a speed of 1,560 km/s. (a) Calculate the wavelength of the incident photon. X Enter a number differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully nm (b) Calculate the angle through which the electron scatters. 80.29 Need Help? Read It
Quantum Physics - Photon Momentum - Photon Scattering - Compton Effect 2 Photon Scattering by Electron - Compton Effect E = h' Ehf h (photon's momentum) 2 Before KW 2 After h 2-1=(1-cos) (Compton effect) m. = 2.43x10- Before After KEE E is between 0° and 180° The Planck constant is 6.626x10^-34 J s. The wavelength of the incident X-ray photon is unknown. The incident photon collides with the stationary electron. After the collision, the scattered photon's motion makes an...
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